i need help in this

3. (20 +5(bonus) points) In a recent study, a researcher considers the following production function models: (1) LnYt = ao + a LnKt + a2LnLt + Ut1 (2) LnYf/LnK+ = bo + b (1/LnKt) + b2(LnLt/LnKt) + Ut2 (3) ALNY+ = d ALnKt + d2 ALNL+ + Ut3 + (4) Ln(Yt/K)= Co + CLn(Lt/Kt) + Ut4 where Y = output, K = Capital, L = labour and A is the difference operator. a) What is the hypothesis maintained in going from equation (1) to equation (2)? Does Dr Notrick worry about heteroscedasticity/autocorrelation in formulating equation (2). How do you know? b) What is the hypothesis maintained in going from equation (1) to equation (3)? Does Dr Notrick worry about heteroscedasticity/autocorrelation in formulating equation (3). How do you know? c) What is the hypothesis maintained in going from equation (1) to equation (4)? Does Dr Notrick worry about heteroscedasticity/autocorrelation in formulating equation (4). How do you know? d) Can you relate the intercepts and slopes of equations (1) and (2)? How